1.

Simplify the following expressions:(i)`(11+sqrt(11))(11-sqrt(11))`(ii) `(5+sqrt(7))(5-sqrt(7))`(iii)`(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))`(iiii)`(sqrt(7)-3)(sqrt(7)+3)`

Answer» 1)`(11+sqrt11)(11-sqrt11)`
`11^2-(sqrt11)^2`
`121-11=110`
2)`(5+sqrt7)(5-sqrt7)`
`5^2-(sqrt7)^2=25-7=18`
3)`(sqrt8-sqrt2)(sqrt8+sqrt2)`
`sqrt8^2-sqrt2^2=8-2=6`
4)`(sqrt7-3)(sqrt7+3)`
`sqrt7^2-3^2=7-9=-2`.


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